100010191101 has 16 divisors (see below), whose sum is σ = 134602480320. Its totient is φ = 66045974400.

The previous prime is 100010191067. The next prime is 100010191103. The reversal of 100010191101 is 101191010001.

It is not a de Polignac number, because 100010191101 - 2⁹ = 100010190589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010191103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421121 + ... + 1489833.

It is an arithmetic number, because the mean of its divisors is an integer number (8412655020).

Almost surely, 2^100010191101 is an apocalyptic number.

It is an amenable number.

100010191101 is a deficient number, since it is larger than the sum of its proper divisors (34592289219).

100010191101 is a wasteful number, since it uses less digits than its factorization.

100010191101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73276.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 100010191101 in words is "one hundred billion, ten million, one hundred ninety-one thousand, one hundred one".